Question

Given the parent function f(x) = 8x + 9, rewrite the function after the following transformation: reflect over the x-axis. Group of answer choices g(x) = -8x + 9 g(x) = -8x - 9 g(x) = 8x - 9 g(x) = 8x + 9

Answer 1

Given:

The parent function is

$f(x)=8x+9$

To find:

The function after the reflection over the x-axis.

Solution:

We know that, if a function f(x) reflected over x-axis to get the function g(x), then

$g(x)=-f(x)$

Putting $f(x)=8x+9$, we get

$g(x)=-(8x+9)$

$g(x)=-8x-9$

The function after the reflection over the x-axis is $g(x)=-8x-9$.

Therefore, the correct option is B.